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Finding the Fourth Proportional to 104.24, 155.14 and 103.64

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Solution

The fourth proportional to 104.24, 155.14 and 103.64 is: 154.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.24 : 155.14 = 103.64 : x
  2. Step 2: Convert to fraction form
    104.24/155.14 = 103.64/x
  3. Step 3: Cross multiply
    104.24x = 155.14 × 103.64
  4. Step 4: Simplify right side
    104.24x = 16,078.71
  5. Step 5: Solve for x
    x = 16,078.71/104.24
  6. Step 6: Final answer
    x = 154.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.